where \(\lambda \)  denotes the Lyapunov exponent, and \(T\)  is the temperature of the system [1]}. This conjecture was gotten in the thermal quantum systems with a large number of degrees of freedom. It is based on the factorization assumption and the assumption that there is a large hierarchy between the dissipation time and the scrambling time. After this seminal work was put forward, it immediately attracted much attention [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}, [21]}, [22]}, [23]}, [24]}, [25]}, [26]}, [27]}, [28]}, [29]}, [30]}, [31]}, [32]}, [33]}, [34]}, [35]}, [36]}, [37]}, [38]}, [39]}, [40]}, [41]}, [42]}, [43]}, [44]}, [45]}, [46]}, [47]}, [48]}, [49]}, [50]}, [51]}, [52]}, [53]}. It was found that the Sachdev-Ye-Kitaev model saturated the chaos bound. In the near-horizon region of the black hole, it was shown that the upper bound of the exponent was equal to the surface gravity [5]}. From the relation between the surface gravity and temperature, this result supports the conjecture of Maldacena et al. These researches play an important role in black hole physics and gravity duality.
